Alright, let's solve this problem step by step. We have 442102513 and 77104006 and we're adding them together.

Step 1: We'll start by adding the digits 3 & 6 in column 1 and get 9.

Step 2: We'll start by adding the digits 1 & 0 in column 2 and get 1.

Step 3: We'll start by adding the digits 5 & 0 in column 3 and get 5.

Step 4: We'll start by adding the digits 2 & 4 in column 4 and get 6.

Step 5: We'll start by adding the digits 0 & 0 in column 5 and get 0.

Step 6: We'll start by adding the digits 1 & 1 in column 6 and get 2.

Step 7: We'll start by adding the digits 2 & 7 in column 7 and get 9.

Step 8: We'll start by adding the digits 4 & 7 in column 8 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 4 & 0 in column 9 and get 5.

So, 442102513 + 77104006 = 519206519.

